The number 39997
39997 is a composite number with 8 divisors. Its prime factorisation is 23 × 37 × 47. Divisors (8): 1, 23, 37, 47, 851, 1081, 1739, 39997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39997: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37.
- 2
39997 is composite. Its prime factorisation is
- 3
The divisors add up to 43776; without 39997 itself that is 3779, so 39997 is deficient (3779 is less than 39997). Euler's totient φ(39997) = 36432 numbers up to 39997 share no factor with it.
- 4
The digits of 39997 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39997 = 23 \times 37 \times 47 \]
39997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43776 |
| Euler totient φ(n) | 36432 |
| Square | 1599760009 |
| Cube | 63985601079973 |
| Square root | 199.992500 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.9997 × |
39997 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and ninety-seven |
| Binary (base 2) | 1001110000111101 |
| Octal (base 8) | 116075 |
| Hexadecimal (base 16) | 9C3D |
| Base 3 | 2000212101 |
| As time | 39997 seconds = 11 h 6 min 37 s |
Is 39997 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39997 a prime number?
No. 39997 = 23 × 37 × 47, so it is divisible by 23.
What are the factors of 39997?
1, 23, 37, 47, 851, 1081, 1739, 39997.
What is 39997 in binary?
1001110000111101 (hexadecimal 9C3D, octal 116075).
What is the square root of 39997?
About 199.9925.
Is 39997 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 39997?
39997 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 37.